83332032 has 56 divisors (see below), whose sum is σ = 251984256. Its totient is φ = 23808768.

The previous prime is 83332027. The next prime is 83332033. The reversal of 83332032 is 23023338.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 83331993 and 83332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83332033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29658 + ... + 32345.

Almost surely, 2^83332032 is an apocalyptic number.

It is an amenable number.

83332032 is an abundant number, since it is smaller than the sum of its proper divisors (168652224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83332032 is a wasteful number, since it uses less digits than its factorization.

83332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62025 (or 62015 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 83332032 is about 9128.6380145124. The cubic root of 83332032 is about 436.7879587176.

The spelling of 83332032 in words is "eighty-three million, three hundred thirty-two thousand, thirty-two".